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BRIEF NOTES

Buckling of a Rotating Rod Under Axial Force

[+] Author and Article Information
C. Y. Wang

Departments of Mathematics and Mechanical Engineering, Michigan State University, East Lansing, MI 48824

J. Appl. Mech 71(4), 590-593 (Sep 07, 2004) (4 pages) doi:10.1115/1.1767165 History: Received October 16, 2003; Revised January 15, 2004; Online September 07, 2004
Copyright © 2004 by ASME
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References

Love, A. E. H., 1944, A Treatise on the Mathematical Theory of Elasticity, 4th Ed., Dover, New York.
Odeh,  F., and Tadjbakhsh,  I., 1965, “A Nonlinear Eigenvalue Problem for Rotating Rods,” Arch. Ration. Mech. Anal., 20, pp. 81–94.
Bobisud,  L. E., and Christenson,  C. O., 1979, “Critical Force in the Buckling of Drill Bits,” ASME J. Appl. Mech., 46, pp. 461–462.
Wang,  C. Y., 1993, “The Axially Rotating Segmented Rod,” Int. J. Solids Struct., 30, pp. 2437–2444.

Figures

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(a) The rotating segmented rod. (b) Force balance on the nth link, Cn is the centrifugal force. (c) A segment of the continuous rod.
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Stability boundaries for the primary mode
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The buckling modes for N=5 when rotation is absent. From top, first to fourth modes, respectively.
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The buckling modes for N=5 when axial force is absent. From top, first to fourth modes, respectively.
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Stability boundaries for the continuous rod, first four modes
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Comparisons of the stability boundaries of the segmented rod (solid lines) to that of the continuous rod (dashed lines), first mode only

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